docs: def itoEuler(f, G, y0, tspan, dW=None):
      """Use the Euler-Maruyama algorithm to integrate the Ito equation
      dy = f(y,t)dt + G(y,t) dW(t)
  
      where y is the d-dimensional state vector, f is a vector-valued function,
      G is an d x m matrix-valued function giving the noise coefficients and
      dW(t) = (dW_1, dW_2, ... dW_m) is a vector of independent Wiener increments
  
      Args:
        f: callable(y, t) returning (d,) array
           Vector-valued function to define the deterministic part of the system
        G: callable(y, t) returning (d,m) array
           Matrix-valued function to define the noise coefficients of the system
        y0: array of shape (d,) giving the initial state vector y(t==0)
        tspan (array): The sequence of time points for which to solve for y.
          These must be equally spaced, e.g. np.arange(0,10,0.005)
          tspan[0] is the intial time corresponding to the initial state y0.
        dW: optional array of shape (len(tspan)-1, d). This is for advanced use,
          if you want to use a specific realization of the d independent Wiener
          processes. If not provided Wiener increments will be generated randomly
  
      Returns:
        y: array, with shape (len(tspan), len(y0))
           With the initial value y0 in the first row
  
      Raises:
        SDEValueError
  
      See also:
        G. Maruyama (1955) Continuous Markov processes and stochastic equations
        Kloeden and Platen (1999) Numerical Solution of Differential Equations
      """
      (d, m, f, G, y0, tspan, dW, __) = _check_args(f, G, y0, tspan, dW, None)
      N = len(tspan)
      h = (tspan[N-1] - tspan[0])/(N - 1)
      # allocate space for result
      y = np.zeros((N, d), dtype=type(y0[0]))
      if dW is None:
          # pre-generate Wiener increments (for m independent Wiener processes):
          dW = deltaW(N - 1, m, h)
      y[0] = y0;
      for n in range(0, N-1):
          tn = tspan[n]
          yn = y[n]
          dWn = dW[n,:]
          y[n+1] = yn + f(yn, tn)*h + G(yn, tn).dot(dWn)
      return y